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Hash Table Load Factor and Collision Probability Calculator

λ = n/m — fraction of slots occupied in a hash table.

Calculates the load factor λ = n/m (items/buckets), the approximate collision probability per insertion (birthday problem approximation), and expected chain length for chaining hash tables.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

λ = n/m; P(collision) ≈ 1 − e^(−λ); chain = λ

In depth

Calculates the load factor λ = n/m (items/buckets), the approximate collision probability per insertion (birthday problem approximation), and expected chain length for chaining hash tables.